84006415852128 has 1920 divisors, whose sum is σ = 325498831257600. Its totient is φ = 20608035655680.

The previous prime is 84006415852111. The next prime is 84006415852141. The reversal of 84006415852128 is 82125851460048.

It is a happy number.

84006415852128 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 6 + 41 + 58 + 521 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 179885258551 + ... + 179885259017.

It is an arithmetic number, because the mean of its divisors is an integer number (169530641280).

Almost surely, 2^{84006415852128} is an apocalyptic number.

84006415852128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84006415852128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162749415628800).

84006415852128 is an abundant number, since it is smaller than the sum of its proper divisors (241492415405472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84006415852128 is a wasteful number, since it uses less digits than its factorization.

84006415852128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 84006415852128 in words is "eighty-four trillion, six billion, four hundred fifteen million, eight hundred fifty-two thousand, one hundred twenty-eight".